What is the 2029th prime number?
The 2029th prime number is 17659. The next prime is 17669 (a gap of 10) and the one before is 17657.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2029th one is 17659.
- 2
17659 is prime because no prime up to ā17659 ā 132.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2029th prime is close to 2029 Ć ln(2029) ā 15451, and here it is 17659.
- 4
17659 is a twin prime: 17657 and 17659 are both prime.
Primes around the 2029th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2026 | 17623 | 14 |
| 2027 | 17627 | 4 |
| 2028 | 17657 | 30 |
| 2029 | 17659 | 2 |
| 2030 | 17669 | 10 |
| 2031 | 17681 | 12 |
| 2032 | 17683 | 2 |
Questions
What is the 2029th prime number?
17659.
Which prime number is 17659?
17659 is the 2029th prime number.
What is the sum of the first 2029 primes?
16,782,746.